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Finding the Third Proportional to 42,534 and 93,130.50

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Solution

The third proportional to 42,534 and 93,130.50 is: 203,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,534 : 93,130.50 = 93,130.50 : x
  2. Step 2: Convert to fraction form
    42,534/93,130.50 = 93,130.50/x
  3. Step 3: Cross multiply
    42,534x = 93,130.50 × 93,130.50
  4. Step 4: Simplify right side
    42,534x = 8,673,290,030.25
  5. Step 5: Solve for x
    x = 8,673,290,030.25/42,534
  6. Step 6: Final answer
    x = 203,914.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.